Linear Spaces
Product Space
Definition: Let (V,F) and (W,F) be two vector spaces over the same field F. The set V×W is called the product space of V and W and is denoted by V×W.
- V×W={(v,w):v∈V,w∈W}
- (v1​,w1​)+(v2​,w2​)=(v1​+v2​,w1​+w2​) (vector addition)
- α(v,w)=(αv,αw) (scalar multiplication)
#EE501 - Linear Systems Theory at METU